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3 years ago

The pair of points is on the graph of an inverse variation. find the missing value. (5,4) and (x,7)

2 answers:

7 0

One form of the relation of inverse variation is y = k/x.

first step: Find the value of k: Taking the values x=5 and y = 4, 4=k/5, or k=20. Then, y = 20/x.

Next: Let y = 7 and find the corresp. value of x: 7=20/x, or 7x=20, or

x = 20/7 (answer)

wel3 years ago

6 0

To the risk of sounding redundant.

$\bf \qquad \qquad \textit{inverse proportional variation}
\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------$

$\bf (5,4)\textit{ we also know that }
\begin{cases}
x=5\\
y=4
\end{cases}\implies 4=\cfrac{k}{5}\implies 20=k
\\\\\\
therefore\qquad \boxed{y=\cfrac{20}{x}}
\\\\\\
(x,7)\textit{ when y = 7, what is \underline{x}?}\qquad 7=\cfrac{20}{x}\implies x=\cfrac{20}{7}\implies x=2\frac{6}{7}$

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A box contains 5 red balls, 6 white balls and 9 black balls. Two balls are drawn at

valina [46]

Answer:

$P(Same)=\frac{61}{190}$

Step-by-step explanation:

Given

$Red = 5$

$White = 6$

$Black = 9$

Required

The probability of selecting 2 same colors when the first is not replaced

The total number of ball is:

$Total = 5 + 6 + 9$

$Total = 20$

This is calculated as:

$P(Same)=P(Red\ and\ Red) + P(White\ and\ White) + P(Black\ and\ Black)$

So, we have:

$P(Same)=\frac{n(Red)}{Total} * \frac{n(Red) - 1}{Total - 1} + \frac{n(White)}{Total} * \frac{n(White) - 1}{Total - 1} + \frac{n(Black)}{Total} * \frac{n(Black) - 1}{Total - 1}$

<em>Note that: 1 is subtracted because it is a probability without replacement</em>

$P(Same)=\frac{5}{20} * \frac{5 - 1}{20- 1} + \frac{6}{20} * \frac{6 - 1}{20- 1} + \frac{9}{20} * \frac{9- 1}{20- 1}$

$P(Same)=\frac{5}{20} * \frac{4}{19} + \frac{6}{20} * \frac{5}{19} + \frac{9}{20} * \frac{8}{19}$

$P(Same)=\frac{20}{380} + \frac{30}{380} + \frac{72}{380}$

$P(Same)=\frac{20+30+72}{380}$

$P(Same)=\frac{122}{380}$

$P(Same)=\frac{61}{190}$

4 0

3 years ago

triangle LMN is similar to triangle FGH and LN/FH= 7/4. What is the ratio of the area of triangle LMN to the area of triangle FG

jeyben [28]

Answer:

Step-by-step explanation:

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2 years ago

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Veronika [31]

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5 0

3 years ago

Sasha hikes into a canyon. She takes a break at the rest stations every 2/3 of a mile. If she started at sea level and has hiked

butalik [34]

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6 0

3 years ago

900% of it is 450 ?<br><br> please help with this

charle [14.2K]

900% of 450=4050

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 450 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 450 is 100%, so we can write it down as 450=100%.
4. We know, that x is 900% of the output value, so we can write it down as x=900%.
5. Now we have two simple equations:
1) 450=100%
2) x=900%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
450/x=100%/900%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 900% of 450

450/x=100/900
(450/x)*x=(100/900)*x - we multiply both sides of the equation by x
450=0.111111111111*x - we divide both sides of the equation by (0.111111111111) to get x
450/0.111111111111=x
4050=x

now

4 0

3 years ago